Answer:
[tex]Area = 6 * 10^3\ m^2[/tex]
Step-by-step explanation:
Given
[tex]Area = 6000m^2[/tex]
Required
Write as a number by power of 10
[tex]Area = 6000m^2[/tex]
Split 6000 as 6 * 1000
[tex]Area = 6 * 1000m^2[/tex]
Express 1000 as 10^3 --- Law of indices
[tex]Area = 6 * 10^3\ m^2[/tex]
The length of a rectangle is increasing at a rate of 1 meter per day and the width is decreasing at a rate of 2 meters per day. When the length is 8 meters and the width is 18 meters, then how fast is the AREA changing?
Answer:
The area is changing at 2 m²/d.
Step-by-step explanation:
The area of a rectangle is given by:
[tex] A = l*w [/tex]
Where:
l is the length
w is the width
We have that the length is increasing at a rate:
[tex] \frac{dl}{dt} = 1 \frac{m}{d} [/tex]
And the width is decreasing at a rate:
[tex]\frac{dw}{dt} = -2 \frac{m}{d}[/tex]
The change in the rectangle's area is the following:
[tex] \frac{dA}{dt} = w\frac{dl}{dt} + l\frac{dw}{dt} [/tex]
When the length is 8 meters and the width is 18 meters we have:
[tex] \frac{dA}{dt} = 18 m*1\frac{m}{d} + 8 m(-2 \frac{m}{d}) [/tex]
[tex] \frac{dA}{dt} = 18 \frac{m^{2}}{d} - 16 \frac{m^{2}}{d} [/tex]
[tex] \frac{dA}{dt} = 2 \frac{m^{2}}{d} [/tex]
Therefore, the area is changing at 2 m² per day.
I hope it helps you!
Help please for brainliest
Answer:
4.62 ? if we're not rounding to the nearest tenth
exact:
4.61867098
Mike wanted to purchase a couch for $350.00 and realized the couch was on sale for 25% off. How much would Mike pay for the couch, before taxes, once the discount was applied?
$87.50
$262.50
$349.75
$437.50
Answer:
87.50
Step-by-step explanation
PLEASE HELP!!!!!!! Which set of numbers is arranged in decreasing order?
Answer:
C
Step-by-step explanation:
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solutions~Steps:}[/tex]
[tex]1.)~Simplify~everything~into~decimal~form:[/tex]
[tex]\bold{2\pi}[/tex] ≈ [tex]\bold{6.283185307}[/tex][tex]\bold{\sqrt{37}}[/tex] ≈ [tex]\bold{6.08276253}[/tex][tex]\bold{\frac{55}{9}}[/tex] ≈ [tex]\bold{6.111111111}[/tex][tex]2.)~Round~to~the~nearest~hundredth :[/tex]
[tex]\bold{2\pi:6.283185307=6.28}[/tex][tex]\bold{\sqrt{37}:6.08276253=6.08}[/tex][tex]\bold{\frac{55}{9}:6.111111111=6.11}[/tex][tex]3.)~Order~them~in~decreasing~order,~(Greatest~to~Least:)[/tex]
[tex]\bold{6.82}[/tex][tex]\bold{2\pi}[/tex][tex]\bold{\frac{55}{9}}[/tex][tex]\bold{\sqrt{37}}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{The~correct~decreasing~order~is~\boxed{C.}}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]
Question 1
1 pts
A high school gym teacher records how much time each student requires to complete a one-mile run.
This
is an example of measuring a continuous variable.
Answer:
True : It is an example of a continuous variable
Step-by-step explanation:
Numerical variables acn be classed as either being discrete or continuous based on whether the values in the data set are finite and countable or not.
Discrete variables are characterized by possessing a finite number of possible values which are countable and usually do not involve decimal numbers in between successive whole numbers.
On the other hand continuous variables are non finite and usually contains a lot of points in between possible whole numbers such as in the scenario above, the race time for the students take up any number within minutes, seconds and milliseconds. Hence, making the possible Numner of values impossible to predict or state.
Five companies (A, B, C, D, and E) that make elec- trical relays compete each year to be the sole sup- plier of relays to a major automobile manufacturer. The auto company’s records show that the probabili- ties of choosing a company to be the sole supplier are Supplier chosen: A B C D E Probability: .20 .25 .15 .30 .10 a. Suppose that supplier E goes out of business this year, leaving the remaining four companies to compete with one another. What are the new probabilities of companies A, B, C, and D being chosen as the sole supplier this year? b. Suppose the auto company narrows the choice of suppliers to companies A and C. What is the probability that company A is chosen this year?
Answer:
a
[tex]P(a | e') = 0.22[/tex]
[tex]P(b | e') = 0.28[/tex]
[tex]P(c | e') = 0.33[/tex]
b
[tex]P(a | e' , d' , b') = 0.57 [/tex]
Step-by-step explanation:
From the question we are told that
The probabilities are
Supplier chosen A B C
Probability P(a) = 0.20 P(b) = 0.25 P(c) = 0.15
D E
P(d) = 0.30 P(e) = 0.10
Generally the new probability of companies A being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
[tex]P(a | e') = \frac{P (a \ and \ e')}{P(e')}[/tex]
[tex]P(a | e') = \frac{P (a)}{P(e')}[/tex]
[tex]P(a | e') = \frac{P (a)}{1- P(e)}[/tex]
=> [tex]P(a | e') = \frac{ 0.20}{1- 0.10}[/tex]
=> [tex]P(a | e') = 0.22[/tex]
Generally the new probability of companies B being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
[tex]P(b | e') = \frac{P (b \ and \ e')}{P(e')}[/tex]
[tex]P(b | e') = \frac{P (b)}{P(e')}[/tex]
[tex]P(b | e') = \frac{P (b)}{1- P(e)}[/tex]
=> [tex]P(b | e') = \frac{ 0.25}{1- 0.10}[/tex]
=> [tex]P(b | e') = 0.28[/tex]
Generally the new probability of companies C being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
[tex]P(c | e') = \frac{P (c \ and \ e')}{P(e')}[/tex]
[tex]P(c | e') = \frac{P (c)}{P(e')}[/tex]
[tex]P(c | e') = \frac{P (c)}{1- P(e)}[/tex]
=> [tex]P(c | e') = \frac{ 0.15}{1- 0.10}[/tex]
=> [tex]P(c | e') = 0.17[/tex]
Generally the new probability of companies D being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
[tex]P(d | e') = \frac{P (d \ and \ e')}{P(e')}[/tex]
[tex]P(d | e') = \frac{P (d)}{P(e')}[/tex]
[tex]P(d | e') = \frac{P (d)}{1- P(e)}[/tex]
=> [tex]P(d | e') = \frac{ 0.30}{1- 0.10}[/tex]
=> [tex]P(c | e') = 0.33[/tex]
Generally the probability that B, D , E are not chosen this year is mathematically represented as
[tex]P(N) = 1 - [P(e) +P(b) + P(d) ][/tex]
=> [tex]P(N) = 1 - [0.10 +0.25 +0.30 ][/tex]
=> [tex]P(N) = 0.35[/tex]
Generally the probability that A is chosen given that E , D , B are rejected this year is mathematically represented as
[tex]P(a | e' , d' , b') = \frac{P(a)}{P(N)}[/tex]
=> [tex]P(a | e' , d' , b') = \frac{0.20 }{0.35 }[/tex]
=> [tex]P(a | e' , d' , b') = 0.57 [/tex]
c. One sixth of a number is 15. What is the number?
Please explain step by step.
Answer:
90
if 15 is 1 6th then yo need 5 more 15s to find out the whole number
(3.8 x 10^5) + (5.7 x 10^5) answer in scientific notation
What is the opposite of the opposite of -1.4?
Answer:
-1.4
Step-by-step explanation:
opposite of -1.4 = 1.4
opposite of the opposite of -1.4 = the opposite of 1.4 = -1.4
"Macy was asked to compare the two ratios 4:5 and 19 to 30. Her work is shown below. Which is true"?
Answer:C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
2m^2 + 5m + 16 = 8
Solutions: ____
Show work:
Step 1: Equation to complete the square
Step 2: Show work here to find the c-value.
Step 3: Show work here to factor: (Don’t forget the sign of the binomial)
Step 4: Show work for solving for both roots.
Answer:
there is no solution for this equation
Write a linear function f with f(-3)=1 and f(13)=5
Answer:
[tex]y = \frac{1}{4}x +\frac{7}{4}[/tex]
Step-by-step explanation:
Given
[tex]f(-3) = 1[/tex]
[tex]f(13) = 5[/tex]
Required
Determine the linear function
A function is of the form:
[tex]y = f(x)[/tex]
Writing the given parameters in (x,y) format, we have:
[tex]f(-3) = 1[/tex] implies (-3,1)
[tex]f(13) = 5[/tex] implies (13,5)
So, the x and y values are:
(-3,1) and (13,5)
i.e.
[tex](x_1,y_1) = (-3,1)[/tex]
[tex](x_2,y_2) = (13,5)[/tex]
First, we need to determine the slope using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{5 - 1}{13 - -(3)}[/tex]
[tex]m = \frac{4}{13 +3}[/tex]
[tex]m = \frac{4}{16}[/tex]
[tex]m = \frac{1}{4}[/tex]
The equation is calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (-3,1)[/tex]
[tex]m = \frac{1}{4}[/tex]
[tex]y - 1 = \frac{1}{4}(x - (-3))[/tex]
[tex]y - 1 = \frac{1}{4}(x +3)[/tex]
[tex]y = \frac{1}{4}(x +3) + 1[/tex]
[tex]y = \frac{1}{4}x +\frac{3}{4} + 1[/tex]
[tex]y = \frac{1}{4}x +\frac{3+4}{4}[/tex]
[tex]y = \frac{1}{4}x +\frac{7}{4}[/tex]
What is the product of the binomials below? (D+1)(d-2)(d+3)
. An independent-measures research study was used to compare two treatment conditions with n=12 participants for each treatment. The first treatment condition had M=55 with a variance of s2=8, and the second treatment condition had M= 52 and s2=4. Look up the appropriate critical value based on your computed degrees of freedom. Do these data indicate a significant difference between the two treatments
Answer:
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Step-by-step explanation:
From the question we are told that
The sample size is n = 12
The first mean is [tex]M_1 = 55[/tex]
The variance is [tex]s^2_1 = 8[/tex]
The second mean is [tex]M_2 = 52[/tex]
The second variance is [tex]s^2_2 = 4[/tex]
Let the level of significance be [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : M_1 = M_2[/tex]
The alternative hypothesis is [tex]H_a : M_1 \ne M_2[/tex]
Generally the test statistics is mathematically
[tex]t = \frac{M_1 - M_2 }{ \sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}} }[/tex]
=> [tex]t = \frac{55 - 52 }{ \sqrt{\frac{8}{12} +\frac{4}{12 }} }[/tex]
=> [tex]t = 1.1619 [/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 12 -1[/tex]
=> [tex]df = 11 [/tex]
Generally from the t- distriibution table the critical value of [tex]\alpha[/tex] at a degree of freedom of [tex]df = 11 [/tex] is
[tex]t_{0.05 , 11} = 2.20098516[/tex]
Here given that the critical value is greater than the t statistics value the
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Find the Least Common Denominator of the fractions 5/8 , 1/2 , and 5/6
The Least Common Denominator of the fractions 5/8, 1/2, and 5/6 is 24.
What is least common denominator?The smallest number that can serve as a common denominator for a group of fractions is known as the least common denominator (LCD), also known as the lowest common denominator. The "smallest non-zero common number," a multiple of both numbers, is the least common multiple of two numbers.
How to solve it?Here, the given fractions are 5/8, 1/2, and 5/6.
So, we have to find the least common multiple of 8, 2, and 6 [Since they are the denominators of our given fractions].
8 = 2*2*2
2 = 2*1
6 = 2*3
So LCM of 8, 2, and 6 is 2*2*2*3 = 24
Therefore the Least Common Denominator of the fractions 5/8, 1/2, and 5/6 is 24.
Learn more about Least Common Denominator here -
https://brainly.com/question/12839053
#SPJ2
If sqrt 16 = x, then x2 =
Answer:
The square root of 16=4, 4x2=8, x2=8.
Step-by-step explanation:
What Is f(0) ?
Choices
12 only
2 and 3 only
-2, -1, 1, and 2 only
-2, -1, 1 2 and 12
Answer:
12 only
Step-by-step explanation:
It means x is zero, and the only point on x=0 is 12 :)
According to the graph the function f(0) is 12 only .
What is intercepts?The x-intercept is the point where a line crosses the x-axis or at y = 0, and the y-intercept is the point where a line crosses the y-axis or at x =0.
According to the question
The graph shows the function in which
f(0) is
i.e
x = 0 or y intercept
Now, according to the graph
at x = 0 , y = 12
Or
f(0) = 12
Hence, The function f(0) is 12 only .
To know more about intercepts here:
https://brainly.com/question/14180189
#SPJ3
Select all the proper fractions.
Answer:
what are the fractions?
Step-by-step explanation:
Answer:
Step-by-step explanation:
need help with promblem
Adriana had 5.15 grams of pepper. Then she used 0.71 grams of the pepper to make some scrambled eggs. How much pepper does Adriana have left?
Answer:
the answer is 4.98
Step-by-step explanation:
you subtract 0.17 from 5.15 you will get 4.98
Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-digit numbers.
Answer:
The age of pluto is:
5,560,000,000 years old = 5.56 × 10⁹ years old
x = 5.56
y = power of 9
Step-by-step explanation:
Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-digit numbers.
We write this in standard form or scientific notation.
5,560,000,000 years old = 5.56 × 10⁹ years old
x = 5.56
y = power of 9
Compare decimals in differ
Order the values from least to greatest.
91 hundredths
(1x1)+ (9
(1x)
1
10
0.19
Stuck? Watch a video or use a hint.
Answer:
hehaw
Step-by-step explanation:
0.19, 91 hundredths, then the equation
A basket can hold 30 apples. Max has 16 apples. He plans to buy 6 more. Each apple costs $1. After he buys the new ones, how many more apples will the basket hold? The basket can hold more apples after Max buys more.
Answer:
He can buy 8 more apples because 16+6=22-30=8
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
A family is purchasing 17 tickets for a downtown walking tour. Adult tickets are $10, child tickets are $7, and senior tickets are $8.50. The total
cost of the tickets is $141.50, and they are purchasing 2 more senior tickets than adult tickets.
Create and solve a system of linear equations to represent this situation. Then select the true statement.
А. The solution to this system is nonviable because it results in a fractional number of tickets.
B. The solution to this system is no viable because it results in a negative number of tickets.
C. The solution to this system is viable.
D. The solution to this system is nonviable because it results in a fractional amount of money.
Answer:
А. The solution to this system is nonviable because it results in a fractional number of tickets.
Step-by-step explanation:
Let x represent the number of adult tickets, y represent the number of child ticket and z represent the number of senior ticket.
Since the number of purchased ticket is 17, hence:
x + y + z = 17 (1)
The total cost of tickets is $141.50, hence:
10x + 7y + 8.5z = 141.5 (2)
they are purchasing 2 more senior tickets than adult tickets, therefore:
x = z + 2 (3)
Solving equation 1 2 and 3 simultaneously gives:
x =17/3, y = 23/3, z = 11/3
Therefore the solution to this system is nonviable because it results in a fractional number of tickets.
Answer:
А.The solution to this system is nonviable because it results in a fractional number of tickets
Step-by-step explanation:
took the test on edmentum and got it correct
Question
Find the average rate of change of the function f(x). given below, from x = -1 to x = 4.
f(x) = -x^3+5x^2
Step-by-step explanation
x=-1
x=4
f(x)= x^3+5x^2
Which equation shows y=3x−15 in standard form?
A. 15x−5y=1
B. 15x+5y=−1
C. 5x−15y=1
D. 5x−15y=−1
Answer:
c 5x -15y =1
Step-by-step explanation:
5x-15y=1
-5x -15y= 1 -5x change the signs on both sides of the equation
15y = -1 +5x divide both sides by 15
y = -1/15 + 1/3 x Reorder the terms
y = 3x-15
:)
All options are wrong here.
Given equation is [tex]y=3x-15[/tex].
the equation given here is in form of [tex]y=mx+c[/tex] . The general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis) .
We have to write [tex]y=3x-15 \\[/tex] in standard form.
The standard form for linear equations in two variables is Ax+By=C.
Now we convert [tex]y=3x-15[/tex] in standard form.
Here [tex]y=3x-15\\[/tex]
[tex]y-3x=-15\\\\-y+3x=15[/tex]
[tex]3x-y=15[/tex]
But no options match with the above standard form of equation.
Hence all options are wrong here.
For more details on standard form for linear equations follow the link:
https://brainly.com/question/7380540
Pls help 8th grade math
FILL IN THE BLANKS !!
Initially a pool contains 340 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 5.2 gallons of water per minute. Write an equation to represent the total amount V of water in the pool in terms of x, the number of minutes the hose has been on.
Answer: Amount of water that is turned in a minute is 5.2d. Given the fact that initially was 350 gallons of water everything you pour needs to be added to the initial amount. So the answer is V(x) = 350 + 5.2x
thank me plz brainliest
Step-by-step explanation:
5 divided by 1/4
a 10
b 5/4
c 1/20
d 20
Answer:
d
Step-by-step explanation:
it would be 5 x 4/1 and u would get 20/1
- when dividing with a fraction u have to do keep, change, flip
or just plug it into a calculator :))
Answer:
D. 20
Step-by-step explanation:
5 / (1/4) =20
5/.25=20
22-3(4)
How do I answer this question?
Answer:
76
Step-by-step explanation:
22-3=19
19x4=76
